On automorphisms of a distance-regular graph with intersection array {204, 175, 48, 1; 1, 12, 175, 204}

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• 作者：A. A. Makhnev ; M. S. Nirova ; D. V. Paduchikh
• 关键词：strongly regular graph ; eigenvalue of a graph ; automorphism of a graph
• 刊名：Proceedings of the Steklov Institute of Mathematics
• 出版年：2016
• 出版时间：December 2016
• 年：2016
• 卷：295
• 期：1-supp
• 页码：101-108
• 全文大小：
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics, general;
• 出版者：Pleiades Publishing
• ISSN：1531-8605
• 卷排序：295

文摘

A distance-regular graph Γ with intersection array {204, 175, 48, 1; 1, 12, 175, 204} is an AT4-graph, and the antipodal quotient \(\overline \Gamma \) has parameters (800, 204, 28, 60). Automorphisms of these graphs are found. In particular, neither of the two graphs is arc-transitive.